Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 33.9b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

32.6b

(sqrt (* (* 2.0 x) x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1`
3×	`sqrt-pow1` `pow-prod-down`
1×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/2` `sqrt-prod` `add-cbrt-cube` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

3.0ms

(sqrt (* (* 2.0 x) x))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(sqrt (* (* 2.0 x) x))

simplify107.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4675	80
1	4675	80

prune30.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	11	4	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	5	16

Merged error: 0.2b

Counts

16 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.5b	(* x (neg (sqrt 2.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-r`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
1×	`neg-mul-1` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

8.0ms

(* x (neg (sqrt 2.0)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* x (neg (sqrt 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4786	196
1	4786	196

prune53.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	32	8	40

Merged error: 0.1b

Counts

40 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (neg (sqrt (sqrt 2.0))))
0.3b	(* (* x (neg (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

31×	`associate-r`
27×	`sqrt-prod`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `distribute-lft-neg-in` `distribute-rgt-neg-in` `add-cbrt-cube`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `distribute-rgt-neg-out` `add-log-exp`
1×	`distribute-lft-neg-out` `neg-mul-1` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

7.0ms	(* x (neg (sqrt (sqrt 2.0))))
9.0ms	(* (* x (neg (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (neg (sqrt (sqrt 2.0))))
5.0ms	(* (* x (neg (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4827	455
1	4827	455

prune100.0ms

Filtered

35 candidates to 69 candidates (-97.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	5	5
Picked	0	1	1
Done	1	1	2
Total	68	9	77

Merged error: 0.1b

Counts

77 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (* (sqrt (sqrt 2.0)) (neg (sqrt (sqrt (sqrt 2.0))))))
0.3b	(* (* x (* (sqrt (sqrt 2.0)) (neg (sqrt (sqrt (sqrt 2.0)))))) (sqrt (sqrt (sqrt 2.0))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-prod`
16×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `distribute-rgt-neg-out`
2×	`*-commutative` `add-log-exp`
1×	`distribute-lft-neg-out`

Counts

2 → 50

Calls

2 calls:

9.0ms	(* x (* (sqrt (sqrt 2.0)) (neg (sqrt (sqrt (sqrt 2.0))))))
14.0ms	(* (* x (* (sqrt (sqrt 2.0)) (neg (sqrt (sqrt (sqrt 2.0)))))) (sqrt (sqrt (sqrt 2.0))))

series43.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (* (sqrt (sqrt 2.0)) (neg (sqrt (sqrt (sqrt 2.0))))))
5.0ms	(* (* x (* (sqrt (sqrt 2.0)) (neg (sqrt (sqrt (sqrt 2.0)))))) (sqrt (sqrt (sqrt 2.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5290	499

prune79.0ms

Filtered

30 candidates to 56 candidates (-86.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	58	7	65

Merged error: 0.1b

Counts

65 → 7

regimes143.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 31.2b

bsearch12.0ms

Steps

Iters	Range		Point
9	-2.1086826833733962e-305	7.940780469190808e-305	2.5365652372159e-311

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	27
1	70	27

end0.0ms

sample304.0ms

Algorithm

intervals

Results

183.0ms

8000×

body

valid

Details

sample12.0ms

simplify2.0ms

prune4.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify107.0ms

prune30.0ms

localize4.0ms

rewrite9.0ms

series5.0ms

simplify51.0ms

prune53.0ms

localize6.0ms

rewrite18.0ms

series11.0ms

simplify59.0ms

prune100.0ms

localize8.0ms

rewrite24.0ms

series43.0ms

simplify57.0ms

prune79.0ms

regimes143.0ms

bsearch12.0ms

simplify2.0ms

end0.0ms

sample304.0ms

Profiling